TSTP Solution File: GRP569-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP569-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:37:40 EDT 2022
% Result : Unsatisfiable 0.71s 1.09s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP569-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 13 18:03:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.09 *** allocated 10000 integers for termspace/termends
% 0.71/1.09 *** allocated 10000 integers for clauses
% 0.71/1.09 *** allocated 10000 integers for justifications
% 0.71/1.09 Bliksem 1.12
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Automatic Strategy Selection
% 0.71/1.09
% 0.71/1.09 Clauses:
% 0.71/1.09 [
% 0.71/1.09 [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( Z,
% 0.71/1.09 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ],
% 0.71/1.09 [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ),
% 0.71/1.09 identity ) ) ],
% 0.71/1.09 [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.71/1.09 [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.71/1.09 [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ]
% 0.71/1.09 ] .
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.71/1.09 This is a pure equality problem
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Options Used:
% 0.71/1.09
% 0.71/1.09 useres = 1
% 0.71/1.09 useparamod = 1
% 0.71/1.09 useeqrefl = 1
% 0.71/1.09 useeqfact = 1
% 0.71/1.09 usefactor = 1
% 0.71/1.09 usesimpsplitting = 0
% 0.71/1.09 usesimpdemod = 5
% 0.71/1.09 usesimpres = 3
% 0.71/1.09
% 0.71/1.09 resimpinuse = 1000
% 0.71/1.09 resimpclauses = 20000
% 0.71/1.09 substype = eqrewr
% 0.71/1.09 backwardsubs = 1
% 0.71/1.09 selectoldest = 5
% 0.71/1.09
% 0.71/1.09 litorderings [0] = split
% 0.71/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.09
% 0.71/1.09 termordering = kbo
% 0.71/1.09
% 0.71/1.09 litapriori = 0
% 0.71/1.09 termapriori = 1
% 0.71/1.09 litaposteriori = 0
% 0.71/1.09 termaposteriori = 0
% 0.71/1.09 demodaposteriori = 0
% 0.71/1.09 ordereqreflfact = 0
% 0.71/1.09
% 0.71/1.09 litselect = negord
% 0.71/1.09
% 0.71/1.09 maxweight = 15
% 0.71/1.09 maxdepth = 30000
% 0.71/1.09 maxlength = 115
% 0.71/1.09 maxnrvars = 195
% 0.71/1.09 excuselevel = 1
% 0.71/1.09 increasemaxweight = 1
% 0.71/1.09
% 0.71/1.09 maxselected = 10000000
% 0.71/1.09 maxnrclauses = 10000000
% 0.71/1.09
% 0.71/1.09 showgenerated = 0
% 0.71/1.09 showkept = 0
% 0.71/1.09 showselected = 0
% 0.71/1.09 showdeleted = 0
% 0.71/1.09 showresimp = 1
% 0.71/1.09 showstatus = 2000
% 0.71/1.09
% 0.71/1.09 prologoutput = 1
% 0.71/1.09 nrgoals = 5000000
% 0.71/1.09 totalproof = 1
% 0.71/1.09
% 0.71/1.09 Symbols occurring in the translation:
% 0.71/1.09
% 0.71/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.09 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.71/1.09 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.71/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.09 'double_divide' [42, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.71/1.09 identity [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.71/1.09 multiply [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.71/1.09 inverse [45, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.71/1.09 a1 [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Starting Search:
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Bliksems!, er is een bewijs:
% 0.71/1.09 % SZS status Unsatisfiable
% 0.71/1.09 % SZS output start Refutation
% 0.71/1.09
% 0.71/1.09 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( Z,
% 0.71/1.09 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.71/1.09 multiply( X, Y ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse(
% 0.71/1.09 identity ) ), Y ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 11, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 12, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 inverse( Y ), inverse( inverse( X ) ) ) ), inverse( identity ) ), Y ) ]
% 0.71/1.09 )
% 0.71/1.09 .
% 0.71/1.09 clause( 13, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.71/1.09 identity ) ), Y ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 16, [ =( 'double_divide'( inverse( X ), inverse( identity ) ), X )
% 0.71/1.09 ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 23, [ =( 'double_divide'( 'double_divide'( identity,
% 0.71/1.09 'double_divide'( X, inverse( identity ) ) ), inverse( identity ) ),
% 0.71/1.09 inverse( X ) ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 37, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 44, [ =( inverse( identity ), identity ) ] )
% 0.71/1.09 .
% 0.71/1.09 clause( 45, [] )
% 0.71/1.09 .
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 % SZS output end Refutation
% 0.71/1.09 found a proof!
% 0.71/1.09
% 0.71/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.09
% 0.71/1.09 initialclauses(
% 0.71/1.09 [ clause( 47, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( Z,
% 0.71/1.09 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.71/1.09 , clause( 48, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.71/1.09 ), identity ) ) ] )
% 0.71/1.09 , clause( 49, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.71/1.09 , clause( 50, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.71/1.09 , clause( 51, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.71/1.09 ] ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( Z,
% 0.71/1.09 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.71/1.09 , clause( 47, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( Z,
% 0.71/1.09 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 54, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.71/1.09 multiply( X, Y ) ) ] )
% 0.71/1.09 , clause( 48, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X
% 0.71/1.09 ), identity ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.71/1.09 multiply( X, Y ) ) ] )
% 0.71/1.09 , clause( 54, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.71/1.09 multiply( X, Y ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 57, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.09 , clause( 49, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.09 , clause( 57, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 61, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.71/1.09 , clause( 50, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.71/1.09 , clause( 61, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.71/1.09 , clause( 51, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 69, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.71/1.09 )
% 0.71/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.09 , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ),
% 0.71/1.09 multiply( X, Y ) ) ] )
% 0.71/1.09 , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ),
% 0.71/1.09 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.71/1.09 , clause( 69, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.71/1.09 )
% 0.71/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 72, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.71/1.09 )
% 0.71/1.09 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.09 )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 75, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.71/1.09 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.71/1.09 , 0, clause( 72, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.09 :=( Y, inverse( X ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.71/1.09 , clause( 75, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 81, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( Z,
% 0.71/1.09 identity ) ) ), inverse( identity ) ), Y ) ] )
% 0.71/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.09 , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( Z,
% 0.71/1.09 identity ) ) ), 'double_divide'( identity, identity ) ), Y ) ] )
% 0.71/1.09 , 0, 13, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X
% 0.71/1.09 , X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 83, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse(
% 0.71/1.09 identity ) ), Y ) ] )
% 0.71/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.09 , 0, clause( 81, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), 'double_divide'( Z,
% 0.71/1.09 identity ) ) ), inverse( identity ) ), Y ) ] )
% 0.71/1.09 , 0, 10, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.09 :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse(
% 0.71/1.09 identity ) ), Y ) ] )
% 0.71/1.09 , clause( 83, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse(
% 0.71/1.09 identity ) ), Y ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 86, [ ~( =( identity, multiply( inverse( a1 ), a1 ) ) ) ] )
% 0.71/1.09 , clause( 4, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 87, [ ~( =( identity, inverse( identity ) ) ) ] )
% 0.71/1.09 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.71/1.09 , 0, clause( 86, [ ~( =( identity, multiply( inverse( a1 ), a1 ) ) ) ] )
% 0.71/1.09 , 0, 3, substitution( 0, [ :=( X, a1 )] ), substitution( 1, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 88, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.71/1.09 , clause( 87, [ ~( =( identity, inverse( identity ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 11, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.71/1.09 , clause( 88, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 90, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse(
% 0.71/1.09 identity ) ) ) ] )
% 0.71/1.09 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse(
% 0.71/1.09 identity ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 92, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.71/1.09 'double_divide'( X, identity ), inverse( inverse( Y ) ) ) ), inverse(
% 0.71/1.09 identity ) ) ) ] )
% 0.71/1.09 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.71/1.09 , 0, clause( 90, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.71/1.09 'double_divide'( 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse(
% 0.71/1.09 Z ) ) ), inverse( identity ) ) ) ] )
% 0.71/1.09 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.71/1.09 :=( Y, X ), :=( Z, inverse( Y ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 93, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.71/1.09 inverse( X ), inverse( inverse( Y ) ) ) ), inverse( identity ) ) ) ] )
% 0.71/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.09 , 0, clause( 92, [ =( X, 'double_divide'( 'double_divide'( Y,
% 0.71/1.09 'double_divide'( 'double_divide'( X, identity ), inverse( inverse( Y ) )
% 0.71/1.09 ) ), inverse( identity ) ) ) ] )
% 0.71/1.09 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.09 :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 94, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.71/1.09 inverse( X ), inverse( inverse( Y ) ) ) ), inverse( identity ) ), X ) ]
% 0.71/1.09 )
% 0.71/1.09 , clause( 93, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.71/1.09 inverse( X ), inverse( inverse( Y ) ) ) ), inverse( identity ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 12, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 inverse( Y ), inverse( inverse( X ) ) ) ), inverse( identity ) ), Y ) ]
% 0.71/1.09 )
% 0.71/1.09 , clause( 94, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.71/1.09 inverse( X ), inverse( inverse( Y ) ) ) ), inverse( identity ) ), X ) ]
% 0.71/1.09 )
% 0.71/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 96, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse(
% 0.71/1.09 identity ) ) ) ] )
% 0.71/1.09 , clause( 9, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse( Z ) ) ), inverse(
% 0.71/1.09 identity ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 97, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.71/1.09 'double_divide'( X, inverse( Y ) ), inverse( identity ) ) ), inverse(
% 0.71/1.09 identity ) ) ) ] )
% 0.71/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.09 , 0, clause( 96, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.71/1.09 'double_divide'( 'double_divide'( Y, 'double_divide'( X, Z ) ), inverse(
% 0.71/1.09 Z ) ) ), inverse( identity ) ) ) ] )
% 0.71/1.09 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ),
% 0.71/1.09 :=( Y, X ), :=( Z, identity )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 98, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.71/1.09 'double_divide'( X, inverse( Y ) ), inverse( identity ) ) ), inverse(
% 0.71/1.09 identity ) ), X ) ] )
% 0.71/1.09 , clause( 97, [ =( X, 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.71/1.09 'double_divide'( X, inverse( Y ) ), inverse( identity ) ) ), inverse(
% 0.71/1.09 identity ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 13, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.71/1.09 identity ) ), Y ) ] )
% 0.71/1.09 , clause( 98, [ =( 'double_divide'( 'double_divide'( Y, 'double_divide'(
% 0.71/1.09 'double_divide'( X, inverse( Y ) ), inverse( identity ) ) ), inverse(
% 0.71/1.09 identity ) ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.09 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 100, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 inverse( Y ), inverse( inverse( X ) ) ) ), inverse( identity ) ) ) ] )
% 0.71/1.09 , clause( 12, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 inverse( Y ), inverse( inverse( X ) ) ) ), inverse( identity ) ), Y ) ]
% 0.71/1.09 )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 102, [ =( X, 'double_divide'( 'double_divide'( X, identity ),
% 0.71/1.09 inverse( identity ) ) ) ] )
% 0.71/1.09 , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.71/1.09 , 0, clause( 100, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.71/1.09 'double_divide'( inverse( Y ), inverse( inverse( X ) ) ) ), inverse(
% 0.71/1.09 identity ) ) ) ] )
% 0.71/1.09 , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.71/1.09 :=( X, X ), :=( Y, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 103, [ =( X, 'double_divide'( inverse( X ), inverse( identity ) ) )
% 0.71/1.09 ] )
% 0.71/1.09 , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.71/1.09 , 0, clause( 102, [ =( X, 'double_divide'( 'double_divide'( X, identity ),
% 0.71/1.09 inverse( identity ) ) ) ] )
% 0.71/1.09 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.09 ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 104, [ =( 'double_divide'( inverse( X ), inverse( identity ) ), X )
% 0.71/1.09 ] )
% 0.71/1.09 , clause( 103, [ =( X, 'double_divide'( inverse( X ), inverse( identity ) )
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 16, [ =( 'double_divide'( inverse( X ), inverse( identity ) ), X )
% 0.71/1.09 ] )
% 0.71/1.09 , clause( 104, [ =( 'double_divide'( inverse( X ), inverse( identity ) ), X
% 0.71/1.09 ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 106, [ =( Y, 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.71/1.09 identity ) ) ) ] )
% 0.71/1.09 , clause( 13, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.71/1.09 identity ) ), Y ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 107, [ =( inverse( X ), 'double_divide'( 'double_divide'( identity
% 0.71/1.09 , 'double_divide'( X, inverse( identity ) ) ), inverse( identity ) ) ) ]
% 0.71/1.09 )
% 0.71/1.09 , clause( 16, [ =( 'double_divide'( inverse( X ), inverse( identity ) ), X
% 0.71/1.09 ) ] )
% 0.71/1.09 , 0, clause( 106, [ =( Y, 'double_divide'( 'double_divide'( X,
% 0.71/1.09 'double_divide'( 'double_divide'( Y, inverse( X ) ), inverse( identity )
% 0.71/1.09 ) ), inverse( identity ) ) ) ] )
% 0.71/1.09 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.71/1.09 identity ), :=( Y, inverse( X ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 108, [ =( 'double_divide'( 'double_divide'( identity,
% 0.71/1.09 'double_divide'( X, inverse( identity ) ) ), inverse( identity ) ),
% 0.71/1.09 inverse( X ) ) ] )
% 0.71/1.09 , clause( 107, [ =( inverse( X ), 'double_divide'( 'double_divide'(
% 0.71/1.09 identity, 'double_divide'( X, inverse( identity ) ) ), inverse( identity
% 0.71/1.09 ) ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 23, [ =( 'double_divide'( 'double_divide'( identity,
% 0.71/1.09 'double_divide'( X, inverse( identity ) ) ), inverse( identity ) ),
% 0.71/1.09 inverse( X ) ) ] )
% 0.71/1.09 , clause( 108, [ =( 'double_divide'( 'double_divide'( identity,
% 0.71/1.09 'double_divide'( X, inverse( identity ) ) ), inverse( identity ) ),
% 0.71/1.09 inverse( X ) ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 109, [ =( inverse( X ), 'double_divide'( 'double_divide'( identity
% 0.71/1.09 , 'double_divide'( X, inverse( identity ) ) ), inverse( identity ) ) ) ]
% 0.71/1.09 )
% 0.71/1.09 , clause( 23, [ =( 'double_divide'( 'double_divide'( identity,
% 0.71/1.09 'double_divide'( X, inverse( identity ) ) ), inverse( identity ) ),
% 0.71/1.09 inverse( X ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 112, [ =( inverse( 'double_divide'( X, inverse( identity ) ) ), X )
% 0.71/1.09 ] )
% 0.71/1.09 , clause( 13, [ =( 'double_divide'( 'double_divide'( X, 'double_divide'(
% 0.71/1.09 'double_divide'( Y, inverse( X ) ), inverse( identity ) ) ), inverse(
% 0.71/1.09 identity ) ), Y ) ] )
% 0.71/1.09 , 0, clause( 109, [ =( inverse( X ), 'double_divide'( 'double_divide'(
% 0.71/1.09 identity, 'double_divide'( X, inverse( identity ) ) ), inverse( identity
% 0.71/1.09 ) ) ) ] )
% 0.71/1.09 , 0, 6, substitution( 0, [ :=( X, identity ), :=( Y, X )] ), substitution(
% 0.71/1.09 1, [ :=( X, 'double_divide'( X, inverse( identity ) ) )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 116, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.71/1.09 , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.71/1.09 )
% 0.71/1.09 , 0, clause( 112, [ =( inverse( 'double_divide'( X, inverse( identity ) ) )
% 0.71/1.09 , X ) ] )
% 0.71/1.09 , 0, 1, substitution( 0, [ :=( X, inverse( identity ) ), :=( Y, X )] ),
% 0.71/1.09 substitution( 1, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 37, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.71/1.09 , clause( 116, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.71/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 118, [ =( X, multiply( inverse( identity ), X ) ) ] )
% 0.71/1.09 , clause( 37, [ =( multiply( inverse( identity ), X ), X ) ] )
% 0.71/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 paramod(
% 0.71/1.09 clause( 120, [ =( identity, inverse( identity ) ) ] )
% 0.71/1.09 , clause( 7, [ =( multiply( inverse( X ), X ), inverse( identity ) ) ] )
% 0.71/1.09 , 0, clause( 118, [ =( X, multiply( inverse( identity ), X ) ) ] )
% 0.71/1.09 , 0, 2, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.71/1.09 identity )] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 eqswap(
% 0.71/1.09 clause( 121, [ =( inverse( identity ), identity ) ] )
% 0.71/1.09 , clause( 120, [ =( identity, inverse( identity ) ) ] )
% 0.71/1.09 , 0, substitution( 0, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 44, [ =( inverse( identity ), identity ) ] )
% 0.71/1.09 , clause( 121, [ =( inverse( identity ), identity ) ] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 resolution(
% 0.71/1.09 clause( 124, [] )
% 0.71/1.09 , clause( 11, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.71/1.09 , 0, clause( 44, [ =( inverse( identity ), identity ) ] )
% 0.71/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 subsumption(
% 0.71/1.09 clause( 45, [] )
% 0.71/1.09 , clause( 124, [] )
% 0.71/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 end.
% 0.71/1.09
% 0.71/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.09
% 0.71/1.09 Memory use:
% 0.71/1.09
% 0.71/1.09 space for terms: 603
% 0.71/1.09 space for clauses: 5586
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 clauses generated: 164
% 0.71/1.09 clauses kept: 46
% 0.71/1.09 clauses selected: 20
% 0.71/1.09 clauses deleted: 7
% 0.71/1.09 clauses inuse deleted: 0
% 0.71/1.09
% 0.71/1.09 subsentry: 210
% 0.71/1.09 literals s-matched: 84
% 0.71/1.09 literals matched: 84
% 0.71/1.09 full subsumption: 0
% 0.71/1.09
% 0.71/1.09 checksum: -1899379546
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Bliksem ended
%------------------------------------------------------------------------------